Lastly, the predictive first-order hold is quite different.

The first-order hold (FOH) is a mathematical model of the practical reconstruction of sampled signals that could be done by a conventional digital-to-analog converter (DAC) and an analog circuit called an integrator.

The filter can then be analyzed in the frequency domain, for comparison with other reconstruction methods such as the Whittaker-Shannon interpolation formula suggested by the Nyquist-Shannon sampling theorem, or such as the first-order hold or linear interpolation between sample values.